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Finding the Fourth Proportional to 274,202.88, 411,138.23 and 179,318.51

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Solution

The fourth proportional to 274,202.88, 411,138.23 and 179,318.51 is: 268,869.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,202.88 : 411,138.23 = 179,318.51 : x
  2. Step 2: Convert to fraction form
    274,202.88/411,138.23 = 179,318.51/x
  3. Step 3: Cross multiply
    274,202.88x = 411,138.23 × 179,318.51
  4. Step 4: Simplify right side
    274,202.88x = 73,724,691,855.35
  5. Step 5: Solve for x
    x = 73,724,691,855.35/274,202.88
  6. Step 6: Final answer
    x = 268,869.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.